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Math Lectures from MSRI

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The Mathematical Sciences Research Institute (MSRI) exists to further mathematical research through broadly based programs in the mathematical sciences and closely related activities. This library of open educational resources features over 400 video lectures on math topics. These university level course are available for free download.

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Math Lectures from MSRI
Fun with Mathematics: Some Thoughts from Seven Decades
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Speaker : Irving Kaplansky
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Topics: Mathematics, lecture
Math Lectures from MSRI
Fermat's Last Theorem - The Theorem and Its Proof: An Exploration of Issues and Ideas
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Speaker : Robert Osserman, Lenore Blum, Ken Ribet, John Conway, Lee Dembart
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Topics: Mathematics, lecture
Math Lectures from MSRI
Algorithms in Algebra and Geometry, Part I
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Speaker : Dave Bayer
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Topics: Mathematics, lecture
Math Lectures from MSRI
4-Dimensional Polytopes, II
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Speaker: Gunter Ziegler Date: August 2003
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Topics: Mathematics, Lectures
Math Lectures from MSRI
Introduction to Quantum Computing
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Speaker: Umesh Vazirani Date: August, 2002
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Topics: Mathematics, lectures
Math Lectures from MSRI
Overview of Elliptic Curve Cryptology
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Speaker : Neal Koblitz
Topics: Mathematics, lecture
Math Lectures from MSRI
Algebraic Topology Applied in Geometry
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Speaker: Imre Barany Date: August 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
Quantum Fourier Transforms
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Speaker: Sean Hallgren
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Topics: Mathematics, Lectures
Math Lectures from MSRI
Gauge Theory, I
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Speaker: Richard Thomas Date: August 2003
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Topics: Mathematics, Lectures
Math Lectures from MSRI
Algorithms in Algebra and Geometry, Part I
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Speaker : Dave Bayer
Topics: Mathematics, lecture
Math Lectures from MSRI
What is HAAR Measure Anyways?
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Speaker : Persi Diaconis
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Topics: Mathematics, lecture
Math Lectures from MSRI
Geometry, part 1
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Speaker : Edward Bierstone
Topics: Mathematics, lecture
Math Lectures from MSRI
Tropical Geometry, I
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Speaker: Bernd Sturmfels Date: August 2003
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Topics: Mathematics, Lectures
Math Lectures from MSRI
Notation
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Speaker : Don Knuth Keywords: Analysis of algorithms;inversion notation; Stirling numbers; history of mathematics; concrete mathematics. Abstract: The speaker presents numerous examples of situations where good notations enhance mathematical problem solving, as well as a few that have been less helpful.
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Topics: Mathematics, lecture
Math Lectures from MSRI
Introduction to Ring Theory 1
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Speaker : Small
Topics: Mathematics, lecture
Math Lectures from MSRI
Graph Drawing from a User's Perspective.
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Speaker : Don Knuth
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Topics: Mathematics, lecture
Math Lectures from MSRI
Fast Multiplication
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Speaker : Dan Bernstein
Topics: Mathematics, lecture
Math Lectures from MSRI
Irving "Kaps" Kaplansky's 80th Birthday Celebration
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Speakers : T.Y. Lam, Irving Kaplansky, Tom Lehrer and others.
Topics: Mathematics, lecture
Math Lectures from MSRI
Perverse sheaves on loop Grassmannians
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Speaker: Ivan Mirkovic Date: Monday March 18, 2002 11:30 AM - 12:30 PM
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Topics: Mathematics, Lectures
Math Lectures from MSRI
Elliptic Curves, I
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Speaker: Bjorn Poonen
Topics: Mathematics, lecture
Math Lectures from MSRI
How to compute the volume?
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Speaker: Santosh Vempala Date: Oct, 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
Geometric Measure Theory, Harmonic Analysis and Potential Theory, I
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Speaker : Tatiana Toro
Topics: Mathematics, lecture
Math Lectures from MSRI
Complex Geometry, I
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Speaker: Zhiqin Lu Date: August 2003
Topics: Mathematics, lecture
Math Lectures from MSRI
Geometric Combinatorics - Combinatorial Convexity
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Speaker: Francis Su
Topics: Mathematics, lecture
Math Lectures from MSRI
Birth of the Giant Component, The
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Speaker : Donald Knuth
Topics: Mathematics, lecture
Math Lectures from MSRI
Line-bundles on the moduli-space of G-torsors
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Abstract: Over the moduli-space of G-torsors on a curve (G a semisimple simply connected split algebraic group) we construct line-bundles corresponding to arbitrary central charges. This had been previously done only in characteristic zero or for the classical groups (using determinants of cohomology and Pfaffians) and G2, but not the other exceptional groups. For E8 the remaining index is 30. The construction uses the reduction to generic Borels. Speaker: Gerd Faltings Date: Wednesday March...
Topics: Mathematics, Lectures, G-torsors
Math Lectures from MSRI
Solving Pell's Equation
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Speaker : Hendrick Lenstra
Topics: Mathematics, lecture
Math Lectures from MSRI
A Friendly Space of Triangulations: Cyclic Polytopes, I
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Speaker: Jeorg Rambau Date: July 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
The Geometry of Seilberg-Witten Invariants.
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Speaker : Cliff Taubes
Topics: Mathematics, lecture
Math Lectures from MSRI
Computational Number Theory: Basic Algorithms
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Speaker : Stan Wagon
Topics: Mathematics, lecture
Math Lectures from MSRI
Actually Doing It: Algorithms and Programs for 3D Delaunay Triagulation
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Speaker: Nina Amenta Date: August 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
Fountain Codes - Information Theoretic Optimal Codes for Datea Transport Applications.
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Speaker : Michael Luby Keywords : Analysis of algorithms; LT codes; Raptor codes; fountain codes; data transportation. Abstract : The problems sending packets of information over a network, including lost packets and variable size of data, are considered with a view towards LT codes and Raptor codes.
Topics: Mathematics, lecture
Math Lectures from MSRI
A desingularization of real diffeomorphic actions of finite groups
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Speaker: Eva Maria Feichtner Date: November 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
Quantum Information Theory, I
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Speaker: Ashwin Nayak Date: August 2002
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Topics: Mathematics, lectures
Math Lectures from MSRI
Commutative Algebra and the Cohomology of Groups, I
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Speaker: Dave J. Benson Date: September 2002
Topics: Mathematics, lectures
Math Lectures from MSRI
Computing the Walsh-Hadamard Transform
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Speaker : Pawel Hitczenko Keywords: Analysis of algorithms; Walsh-Hadamard transform; recursive algorithms; average case analysis; central limit theorem martingale. Abstract: We analyze the performance of a family of algorithms for computing the Walsh-Hadamard transform. One aspect of performance is modeled by a family of reoccurence relations. Deterministic bounds on the solutions are obtained, and under natural random model, we find, asymptotically the expected values, variances, and also...
Topics: Mathematics, lecture
Math Lectures from MSRI
Introduction to Galois Groups and Fundamental Groups
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Speaker : Harbater
Topics: Mathematics, lecture
Math Lectures from MSRI
Discrete Differential Geometry of Curves and Surfaces
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Speaker : John Sullivan
Topics: Mathematics, lecture
Math Lectures from MSRI
F.S. Macaulay: An English schoolmaster and abstract algebra
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Speaker: Jeremy Gray Date: April 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
Quantum Cryptography
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Speaker: Gilles Brassard Date: August 2002
Topics: Mathematics, Lectures
Math Lectures from MSRI
A Simple Competition Model Related to a Loewner Equation
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Speaker: Nikolai Makarov Date: 05/01/01
Topics: Mathematics, lectures
Math Lectures from MSRI
A Linear-Expected-Time Algorithm for Sparse Random Instances of Max Cut and Other Max 2-CSP.
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Speaker : Greg Sorkin Keywords : Analysis of algorithms; average-case analysis; branching processes; Brownian motion; phase transition; scaling window; constraint satisfaction; satisfiability. Abstract : A maximum cut in a random graph below the giant component threshold can be found in linear space and linear expected time by a simple algorithm. The same algorithm solves the more general class Max 2-CSP of weighted binary 2-variable constraint satisfaction problems, which includes weighted Max...
Topics: Mathematics, lecture
Math Lectures from MSRI
Geometry, part 1
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Speaker : Edward Bierstone
Topics: Mathematics, lecture
Math Lectures from MSRI
An Introduction to Multiplier Ideals, I
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Speaker: Robert K. Lazarsfeld Date: September 2002
Topics: Mathematics, lectures
Math Lectures from MSRI
Introduction to Shimura varieties
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Speaker: Gerd Faltings Date: Tuesday March 19, 2002 10:00 AM - 11:00 AM
Topics: Mathematics, Lectures
Math Lectures from MSRI
Quantum Teleportation and Applications
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Speaker: Gilles Brassard Date: August, 2002
Topics: Mathematics, lectures
Math Lectures from MSRI
Lecture 1: Graph homomorphisms, statistical physics and quasirandom graphs
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Speaker: Laszlo Lovasz Date: Nov, 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
Commutative Algebra of N Points in the Plane, III
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Speaker: Mark Haiman Date: September 2002
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Topics: Mathematics, Lectures
Math Lectures from MSRI
Anisotropic Voronoi diagrams and guaranteed-quality anisotropic mesh generation
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Speaker: Jonathan Shewchuk Date: October, 2003
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Topics: Mathematics, lectures
Math Lectures from MSRI
Geometric Graph Theory, I
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Speaker: Janos Pach Date: August 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
Group Representation Theory and Quantum Algorithms
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Speaker: Leornard Schulman Date: August 2002
Topics: Mathematics, lectures
Math Lectures from MSRI
Geometry, part I
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Speaker : Jan Denef
Topics: Mathematics, lecture
Math Lectures from MSRI
Analytic Information Theory: Hidden Markov Processes.
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Speaker : Philippe Jacquet
Topics: Mathematics, lecture
Math Lectures from MSRI
Hyperbolic Geometry, Moebius Transformations and Geometric Optimization
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Speaker: David Eppstein Date: August 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
Lecture 05550
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Topics: Mathematics, lectures
Math Lectures from MSRI
Delauny Triangulations and Relations to Computational Geometry
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Speaker: Jonathan Shewchuk Date: July 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
Tillings, geometric representations and discrete analytic functions
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Speaker: Laszlo Lovasz Date: Nov, 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
Introduction to Quantum Algorithms: The basics
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Speaker: Michele Mosca Date: May 2002
Topics: Mathematics, lectures
Math Lectures from MSRI
Computational Geometry and Robust Statistics
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Speaker: David Eppstein Date: August 2003
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Topics: Mathematics, Lectures
Math Lectures from MSRI
Elliptic Curves, II
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Speaker : Bjorn Poonen
Topics: Mathematics, lecture
Math Lectures from MSRI
The rising tide: Grothendieck on simplicity and generality
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Speaker: Colin McLarty Date: April, 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
Singularity Analysis: A Perspective
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Speaker : Philippe Flajolet Keywords: analysis of algorithms: combinatorial enumeration; analysis of algorithms;singularity analysis; limit distribution;generalizing function;symbolic method
Topics: Mathematics, lecture
Math Lectures from MSRI
Smooth Numbers and the Quadratic Sieve
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Speaker : Carl Pomerance
Topics: Mathematics, lecture
Math Lectures from MSRI
On the early history of commutative algebra with special emphasis on divisbility theories and the foundations of algebraic geometry
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Speaker: Olaf Neumann Date: April 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
Real Algebraic Geometry, Part 1
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Speaker : Michael Coste
Topics: Mathematics, lecture
Math Lectures from MSRI
Computational Geometry and Discrete Mathematics in CAD
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Speaker : H. Edelsbrunner
Topics: Mathematics, lecture
Math Lectures from MSRI
The Geometry of Syzygies, I
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Speaker: David Eisenbud Date: Sept, 2002
Topics: Mathematics, lectures
Math Lectures from MSRI
Combinatorial Methods in Low-Dimensional Topology 1
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Speaker : Cameron Gordon
Topics: Mathematics, lecture
Math Lectures from MSRI
Complex Geometry, II
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Speaker: Zhiqin Lu Date: August, 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
Linear algebra and LP-type products
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Speaker: Bernd Gartner Date: October, 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
Noncommutative Algebraic Geometry 1
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Speaker : Stafford
Topics: Mathematics, lecture
Math Lectures from MSRI
Rethinking the Mathematics Major
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Speaker : Hung-Hsi Wu
Topics: Mathematics, lecture
Math Lectures from MSRI
A Friendly Space of Triangulations: Cyclic Polytopes, II
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Speaker: Joerg Rambau Date: July 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
Applications of Kirby Calculus
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Speaker : Bob Gomph
Topics: Mathematics, lecture
Math Lectures from MSRI
Holonomy, I
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Speaker: Robert Bryant Date: August 2003
Topics: Mathematics, Lectures

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